Investigation on continuous dependence and regularity solutions of functional integrodifferential equations

Abstract

In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction mapping. Also study the existence of strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory.

Keywords

• Neutral integro-differential equations
• Integrated resolvent operator
• Integral solution
• Strict solution
• Continuous dependence